Finiteness of the nearring of congruence preserving and 0-preserving functions of an expanded group
In this paper we shall obtain that the nearring C0(V ) of congruence preserving functions that are 0-preserving of a tame N-module V of a nearring N is finite when N is finite. As a consequence, C0(V ) of an expanded group hV, +, Fi is finite when the nearring of 0-preserving polynomial functions P0...
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| Dokumentumtípus: | Cikk |
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2018
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| Sorozat: | Acta scientiarum mathematicarum
84 No. 3-4 |
| Kulcsszavak: | Algebrai kongruencia, Matematika |
| doi: | 10.14232/actasm-017-299-9 |
| Online Access: | http://acta.bibl.u-szeged.hu/56921 |
| Tartalmi kivonat: | In this paper we shall obtain that the nearring C0(V ) of congruence preserving functions that are 0-preserving of a tame N-module V of a nearring N is finite when N is finite. As a consequence, C0(V ) of an expanded group hV, +, Fi is finite when the nearring of 0-preserving polynomial functions P0(V ) of hV, +, Fi is finite. We then go on to obtain further consequences of this result. |
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| Terjedelem/Fizikai jellemzők: | 401-411 |
| ISSN: | 0001-6969 |